Unit 4 Lesson 7 CFU Modeling with Linear Inequalities

What is the x-intercept of this linear inequality? (Note: That is when the y-coordinate is 0)

 $4x-2y>8$  

• (-2, 0)

• (2, 0)

• (8, 0)

What is the y-intercept of this linear inequality? (Note: That is when the x-coordinate is 0)

 $4x-2y>8$  

• (0, -4)

• (0, 2)

• (0, -2)

Will the line of this linear inequality be dotted or solid?

 $4x-2y>8$  

• Solid

• Dotted

Audrey has x pounds of red grapes and y pounds of green grapes. She has less than 5 pounds of grapes in all.

Which are reasonable solutions for this situation? Check all that apply.

• (-1, 2)

• (1, 3.5)

• (2, 2)

• (4.5, 0.5)

• (5, 0)

Eula needs to buy binders that cost $4 each and notebooks that cost $2 each. She has $20. The inequality shown below represents the situation, where x represents the number of binders and y represents the number of notebooks.

 $4x+2y\le20$  
What is the x-intercept? (Note this is when y is 0)

• (2, 0)

• (4, 0)

• (5, 0)

Eula needs to buy binders that cost $4 each and notebooks that cost $2 each. She has $20. The inequality shown below represents the situation, where x represents the number of binders and y represents the number of notebooks.

 $4x+2y\le20$  
What is the y-intercept? (Note this is when x is 0)

• (0, 2)

• (0, 10)

• (0, 20)

Look at the inequality, will the line on the graph be solid of dotted?

 $4x+2y\le20$  

• Dotted

• Solid

Eula needs to buy binders that cost $4 each and notebooks that cost $2 each. She has $20. The graph represents the following inequality:

 $4x+2y\le20$  
What is the greatest number of binders Eula can buy?

Eula needs to buy binders that cost $4 each and notebooks that cost $2 each. She has $20. The graph represents the following inequality:

 $4x+2y\le20$  
What is the greatest number of notebooks Eula can buy?

In a beanbag toss game, Janelle scores 5 points for landing on a round target and 8 points for landing on a square target. She needs more than 50 points to win. Let x represent the number of times Janelle lands on the round target and let y represent the number of times she lands on the square target. Which inequality represents the situation?

• $5x+8y>50$

• $5x+8y\ge50$

• $8x+5y>50$

• $8x+5y<50$